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3 years ago

What is the area of the figure? 118 in 2 48 in 2 128 in 2 108 in 2

Mathematics

1 answer:

Rom4ik [11]3 years ago

8 0

Answer:

108 square inches (108 in^2)

Step-by-step explanation:

good luck with your studies, make sure to mark brainliest if this answer was helpful to you! :D

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Exercise 7.3.5 The following is a Markov (migration) matrix for three locations        1 5 1 5 2 5 2 5 2 5 1 5 2 5 2 5 2

fredd [130]

Answer:

Both get the same results that is,

$\left[\begin{array}{ccc}140\\160\\200\end{array}\right]$

Step-by-step explanation:

Given :

$\bf M=\left[\begin{array}{ccc}\frac{1}{5}&\frac{1}{5}&\frac{2}{5}\\\frac{2}{5}&\frac{2}{5}&\frac{1}{5}\\\frac{2}{5}&\frac{2}{5}&\frac{2}{5}\end{array}\right]$

and initial population,

$\bf P=\left[\begin{array}{ccc}130\\300\\70\end{array}\right]$

a) - After two times, we will find in each position.

$P_2=[P].[M]^2=[P].[M].[M]$

$M^2=\left[\begin{array}{ccc}\frac{1}{5}&\frac{1}{5}&\frac{2}{5}\\\frac{2}{5}&\frac{2}{5}&\frac{1}{5}\\\frac{2}{5}&\frac{2}{5}&\frac{2}{5}\end{array}\right]\times \left[\begin{array}{ccc}\frac{1}{5}&\frac{1}{5}&\frac{2}{5}\\\frac{2}{5}&\frac{2}{5}&\frac{1}{5}\\\frac{2}{5}&\frac{2}{5}&\frac{2}{5}\end{array}\right]$

$=\frac{1}{25} \left[\begin{array}{ccc}7&7&7\\8&8&8\\10&10&10\end{array}\right]$

$\therefore\;\;\;\;\;\;\;\;\;\;\;P_2=\left[\begin{array}{ccc}7&7&7\\8&8&8\\10&10&10\end{array}\right] \times\left[\begin{array}{ccc}130\\300\\70\end{array}\right] = \left[\begin{array}{ccc}140\\160\\200\end{array}\right]$

b) - With in migration process, 500 people are numbered. There will be after a long time,

$After\;inifinite\;period=[M]^n.[P]$

$Then,\;we\;get\;the\;same\;result\;if\;we\;measure [M]^n=\frac{1}{25} \left[\begin{array}{ccc}7&7&7\\8&8&8\\10&10&10\end{array}\right]$

$=\left[\begin{array}{ccc}140\\160\\200\end{array}\right]$

4 0

3 years ago

Solve for x. See attachment.....

N76 [4]

64=-4+4x
64+4=4x
68=4x
68/4=x
17=x

8 0

3 years ago

Pls Help!!!!! I will pick the brainiest answer as well. ;)

denpristay [2]

Answer:

Step-by-step explanation:

20+4=24 24+25=49

6 0

3 years ago

At the market, potatoes cost $1.15 per pound. Imagine you bought $3.45 worth of potatoes. How many pounds of potatoes did you bu

dusya [7]

You bought 3 potatoes

3.45/1.15
= 3

To check:
3.45/3
=1.15

Hope this helps!! :))

3 0

2 years ago

Optimization problem: what are the dimensions of the lightest open-top right circularcylindrical can that will hold a volume of

vivado [14]

So Volume of cylinder is pi*r^2*h = 1,000

Then lightest one means you have the smallest surface area. Which is one base and then the area of the surface. SA = pi*r^2 + 2pi*r*h

So now you have 2 equations, so:

h = 1,000/(pi*r^2)
So then SA = pi*r^2 + 2pi*r*(1,000/(pi*r^2) = pi*r^2 + 2,000/r

Derivative of SA is then 2pi*r -2,000/r^2. Set to 0

2pi*r-2,000/r^2 =0 --> 2pi*r^3 = 2,000 --> r^3 = 1,000/pi --> r = 10/pi^(1/3)

Now go back to the volume function: pi*r^2*h =1,000 --> 1,000/(pi*100/pi^(2/3)) = h
<span>h = 10 / pi^(1/3)</span>

3 0

3 years ago